A common subproblem of DNF approximate counting and derandomizing RL is the discrepancy problem for combinatorial rectangles. We explicitly construct a poly(n)-size sample space that approximates the volume of any combinatorial rectangle in [n]n to within o(1) error. The construction extends the previous techniques for the analogous hitting set problem, most notably via discrepancy preserving reductions
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Foundations of Computer Science, 1996. Proceedings., 37th Annual Symposium on
Date of Conference: 14-16 Oct 1996